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Finding the Fourth Proportional to 157,356.65, 217,149.45 and 85,737.26

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Solution

The fourth proportional to 157,356.65, 217,149.45 and 85,737.26 is: 118,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356.65 : 217,149.45 = 85,737.26 : x
  2. Step 2: Convert to fraction form
    157,356.65/217,149.45 = 85,737.26/x
  3. Step 3: Cross multiply
    157,356.65x = 217,149.45 × 85,737.26
  4. Step 4: Simplify right side
    157,356.65x = 18,617,799,074.87
  5. Step 5: Solve for x
    x = 18,617,799,074.87/157,356.65
  6. Step 6: Final answer
    x = 118,315.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.